Answers
Answer:
C)
Step-by-step explanation:
in order to understand which triangle would lie on the given line we should figure out the slope of the given line first
remember that,
[tex] \displaystyle m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} [/tex]
from the graph let's take two points where the line passes i.e (0,0) and (4,6)
substitute:
[tex] \displaystyle m = \frac{6- 0}{ 4 - 0} [/tex]
simplify substraction:
[tex] \displaystyle m = \frac{6 }{ 4 } [/tex]
reduce fraction:
[tex] \displaystyle m = \frac{3}{ 2} [/tex]
now we need a triangle which tan ratio equal to the slope in that case we can consider the third triangle
[tex] \displaystyle \tan( \theta) = \frac{30}{20} [/tex]
reduce fraction:
[tex] \displaystyle \tan( \theta) = \frac{3}{2} [/tex]
since the tan ratio of the third triangle equal to the slope of the line
hence, our answer is c
Related Questions
Find the surface area and volume of each figure round your answer to the nearest 10th if necessary
Answers
Answer:
13
Step-by-step explanation:
What is the lateral area of the cone to the nearest whole number? The figure is not drawn to scale. NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
25,120 sq. metres
Step-by-step explanation:
Find the diagram attached
Lateral surface area = πrl
r is the radius
l is the slant height
Given
r = 160/2 = 80m
l = √r²+h²
l = √80²+60²
l = √6400+3600
l = √10,000
l = 100cm
Lateral surface area = 3.14 * 80 * 100
Lateral surface area = 25,120 sq. metres
What is the equation of a line that passes through the points (-3,4) and (2, 8
Answers
Answer:
y = 4/5x + 32/5
Step-by-step explanation:
(-3,4) and (2, 8)
Slope:
m=(y2-y1)/(x2-x1)
m=(8-4)/(2+3)
m= 4/5
Slope-intercept:
y - y1 = m(x - x1)
y - 4 = 4/5(x + 3)
y - 4 = 4/5x + 12/5
y = 4/5x + 32/5
HELP
Here is an expression: `3 X 2^{b}`
Evaluate the expression when `b`is 3.
Answers
Heeeeeeelp meeee pleaseeeee
Answers
Answer:
755887578787-∵°
Step-by-step explanation:
im not smart enough fo this
Answers
4 and 1/2
1.5 x 3 = 4,5
Answer:
4 [tex]1/2[/tex] cups are needed for 3 batches.
Step-by-step explanation:
1 1/2 = 1.5
3*1.5 = 4.5
4.5 = 4 1/2
Have a nice day!
When instructed to find the length of HJ in right
triangle HJG, Alex wrote the equation
HJ
HJ
sin 28° = while Marlene wrote cos 62°
20
20
Are both students' equations correct? Explain
why.
H
+
20
28
O
G
Answers
See attachement for the diagram of the triangle
Answer/Step-by-step explanation:
To find the length of HJ, we can use different equations as follows:
✔️Recall: SOHCAHTOA
Let's take <G as the reference angle = 28°
Opposite side to reference angle = HJ
Hypotenuse = 20
Apply SOH.
Thus:
Sin 28° = opp/hyp
Sin 28° = HJ/20 (Alex's equation is correct).
Solving further, we would have:
HJ = Sin 28 * 20 ≈ 9.4
✔️Another way is by using <H as the reference angle.
m<H = 180° - (90° + 28°) (sum of triangle)
m<H = 62°
Adjacent side to reference angle (<H) = HJ
Hypotenuse = 20
Apply CAH:
Cos 62° = Adj/Hyp
Cos 62° = HJ/20 (Marlene's equation is correct)
Solving further, we would have,
HJ = Cos 62° * 20 ≈ 9.4
As you can see, the equation of both students are correct. Both would arrive at the same answer using any of the two equations.
Denver, Engle and Fido are all dogs who eat differing amounts of dog food. Denver gets 8 19 of the dog food. Engle and Fido share the rest of the food in the ratio 2 : 1 What is Fido's share of the dog food? Show your answer as a percentage, rounded to the nearest percent if necessary.
Answers
Answer:
This is hard
Step-by-step explanation:
Translate the expression: 3 times the difference between 7 and
g is 90
Answers
Answer:
3(7-g)=90
You multiply the expression by 3. The difference means to subtract two values. The whole equation equals 90.
I needs your helps please :) ty
Answers
Answer:
so the answer could either be
Yes. as elevation increases, the temp decreases
but..
there is also no trend coz the points are scattered i.e the temp
as the elevation is increasing the temp does vary.
so My final answer would be no, there is not a trend
Anna graphs y=4/5x+5 as shown. Select the statements that identify errors,if any,on Anna’s graph
Answers
Answer:
where is the graph????
Step-by-step explanation:
Answer:
Step-by-step explanation:
Rewrite in slope-intercept form.
Tap for more steps...
y
=
4
5
x
−
5
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
4
5
y-intercept:
(
0
,
−
5
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for more steps...
x
y
0
−
5
25
4
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
4
5
y-intercept:
(
0
,
−
5
)
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Brian is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 12 feet and its width is 10 feet.
Suppose each bag of fertilizer covers 30 square feet. How many bags will he need to cover the garden?
Answers
Then divide 120/30 equals 4
So 4 bags needed
Please help. I will give u brainiest if u have the right answer.
Answers
Answer:
Ok this time sense you want explanation i give you it your welcome. -7 1/2 reduces to -15/2 and -15/2 + 2 = -5 1/2 or -11/2
Answer:
-Exact form: 11/2
Plz i need help and asap plus work pls and no files
Answers
Answer:
25%
Step-by-step explanation:
so out of 32 marbles, 8 of them are red. This means the rest are blue which is 24 blue. To make a percentage, all you do is make a fraction. out of 32, 8 were red so 8/32. Fractions are basically division so 8/32 is 0.25. This means 25%.
Find the length of side x in simplest radical form with a rational denominator.
Answers
Answer:
[tex]\frac{11\sqrt{2}}{2}}[/tex] or 5.5√2
Step-by-step explanation:
We can see that this is a 45-45-90 triangle
refer to the image below to see what that means
we can see that (in the image) 11=x√2
which means that x= 11/√2
to rationalize this fraction we mulitply both sides by √2 to get
[tex]\frac{11\sqrt{2}}{2}}[/tex] or 5.5√2
Answer:
Step-by-step explanation:
x = [tex]\frac{11\sqrt{2} }{2}[/tex]
On Monday, a dental hygienist cleans teeth of 5 patients by the time she takes her lunch break at noon. On average, she is able to clean the teeth of 9 patients in 4 hours
Write a function to represent the number of patients she sees, y, and the number of hours, 2. the hygienist works after lunch on Monday.
Enter your answer in the box
PLEASE HELP!
Answers
y = 9/4(2) + 5
y = 9.5
y= between 9-10 patients, round down to 9
The function that represents the number of patients she sees is; y = 9/4x + 5 and number of patients after 2 hours is 9 patients
How to write Functions?We are given;
Number of patients the dental hygeinist cleans before lunch = 5
Average number that she cleans after lunch = 9 patients in 4 hours
Thus, number of patients per hour is 9/4
The formula for slope intercept form is;
y = mx + c
Thus, equation to represent the situation in the question is;
y = 9/4x + 5
At 2 hours after lunch, number of patients is;
y = 9/4(2) + 5
y = 9.5
Approximately 9 patients
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Some students were asked to pick their favourite Action Hero.
3/5 chose Batman, 20% chose Hulk and the rest chose Iron Man.
.
Write the ratio of Batman: Hulk: Iron Man in Simplest form.
Select one:
a. 6:2:2
b. 60: 20:20
c. 3:1:1
Answers
Answer:
a
Step-by-step explanation:
First convert 3/5 to a percentage.
3/5 is 60% and 20% of the students chose Hulk. That leaves 20% who chose Iron Man. The simplest form of 60:20:20 is 6:2:2.
Find the measure of the indicated angle.
Answers
Answer: 18) the degree is 45.57 20) 25.01 degree (I am not sure if you need to round up the degree but if you do round it up you will get 46 degree for 18 and 25 degree for 20
NEED HELP ASAP, WILL GIVE BRAINLIEST
The entire graph of the function f is shown in the figure below. Write the domain and range of f using interval notation.
Answers
range:(-4,4]
hope this helps
25 + = 42
16
23
27
17
Answers
Answer:
17
Step-by-step explanation:
25 + = 42
42 - 25
= 17
y=x/4+1/2 find the x and y Pls help asap
Answers
Answer:
y = 1/4x + 1/2 and x = -2 +4y
Step-by-step explanation:
Solving it in a way that x/4 is a fraction and not division so you would make that 1/4x. y = x/4 +1/2 x/4 is 1/4x so then you subtract 1/2 from both sides to get y - 1/2 = 1/4x. You can then divide 1/4 on both sides. -1/2 divided by 1/4 is -2 and 1/4y. This will get your answer of x = 1/4y -2 for x. Y is just 1/4x + 1/2
A shirt was sold for 31.99 after a markup price of 15% markup. What was the original price?
Answers
Answer:
27.82
Step-by-step explanation:
make a proportion
31.99/115 = x/100
Please help ASAP!!! THANKS!
Answers
Given:
The vertices of a parallelogram GHJK are K(1,2), J(5,2), G(0,8).
To find:
The coordinate of the vertex H.
Solution:
We know that the diagonals of a parallelogram bisects each other. It means the midpoint of the diagonals are same.
Let the coordinate of the vertex H are (a,b).
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
In parallelogram GHJK ,
Midpoint of diagonal GJ = Midpoint of diagonal HK
[tex]\left(\dfrac{0+5}{2},\dfrac{8+2}{2}\right)=\left(\dfrac{a+1}{2},\dfrac{b+2}{2}\right)[/tex]
[tex]\left(\dfrac{5}{2},\dfrac{10}{2}\right)=\left(\dfrac{a+1}{2},\dfrac{b+2}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{5}{2}=\dfrac{a+1}{2}[/tex]
[tex]5=a+1[/tex]
[tex]5-1=a[/tex]
[tex]4=a[/tex]
And,
[tex]\dfrac{10}{2}=\dfrac{b+2}{2}[/tex]
[tex]10=b+2[/tex]
[tex]10-2=b[/tex]
[tex]8=b[/tex]
Therefore, the coordinates of the vertex H are (4,8). Hence, option B is correct.
PLEASE ANSWER THE QUESTION IN THE IMAGEEEEE
Answers
Answer:
=1/2 (2) (1/3)
Step-by-step explanation:You have to find the size of the sides using the intersecting lines and then multiply L*W
Answer:
1/2 (2) 1/3
Step-by-step explanation:
trust me broo
A capacitor holds a 8.89 x 10-7 C
charge when 32.0 V are applied to
it. What is its capacitance?
Answers
Answer:2.77*10^-8
Step-by-step explanation:
8.89*10^-7/32.0
The capacitance of the capacitor is approximately 2.78 x 10⁻⁹ Farads (F).
The capacitance of a capacitor can be calculated using the formula:
C = Q / V
Where C represents the capacitance, Q represents the charge stored in the capacitor, and V represents the voltage applied to the capacitor.
In this case, we are given that the charge stored in the capacitor is 8.89 x 10⁻⁷ C and the voltage applied is 32.0 V. Plugging these values into the formula, we get:
C = (8.89 x 10⁻⁷ C) / (32.0 V)
Simplifying the expression, we find:
C ≈ 2.78 x 10⁻⁹ F
The Farad is the SI unit of capacitance, representing the ability of a capacitor to store charge per unit voltage.
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HeLP me ASAP PLEASE ASAP i will give 50 points for the right answer
Answers
4x + y = 7
- x - y = 2
If (x, y) is the solution to the given system of equations, what
is the value of x?
a) -8
b) 26
c) -5
d) 3
Answers
JjjidodlskshslsosjdbkdlsosidjdkwkLldowozjxjdnsklxowjdjjsnwns
How can you tell when a variable is a
perfect square?
Answers
Answer:
hope this helps
Step-by-step explanation:
If a variable with an exponent has an even exponent then it is a perfect square. To get the square root, we simply divide the exponent by 2. For example x8 is a perfect square, its square root is x4
Ron took a multiple choice test. The test was 80 points and each question was worth 2 points. Write an equation to model the number of points Ron earned, y, if he got x questions incorrect.
Answers
Answer:
the equation is y=80-x
hope it helps
y= 80 - 2x
What’s this answer ?
Answers
Answer:
12
Step-by-step explanation:
The average rate of change for f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 1, 3 ] , then
f(b) = f(3) = 27 ← value of y from table for x = 3
f(a) = f(1) = 3 ← value of y from table for x = 1
average rate of change = [tex]\frac{27-3}{3-1}[/tex] = [tex]\frac{24}{2}[/tex] = 12